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Finding the Fourth Proportional to 6,719.68, 10,081.68 and 2,102.68

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Solution

The fourth proportional to 6,719.68, 10,081.68 and 2,102.68 is: 3,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.68 : 10,081.68 = 2,102.68 : x
  2. Step 2: Convert to fraction form
    6,719.68/10,081.68 = 2,102.68/x
  3. Step 3: Cross multiply
    6,719.68x = 10,081.68 × 2,102.68
  4. Step 4: Simplify right side
    6,719.68x = 21,198,546.90
  5. Step 5: Solve for x
    x = 21,198,546.90/6,719.68
  6. Step 6: Final answer
    x = 3,154.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.